Methods for Partial Differential Equations: Qualitative Properties of Solutions, Phase Space Analysi
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- Artikel-Nr.: 10461320
Beschreibung
Part 1.- Introduction.- Part 2.- Partial differential equations in models.- Basics for partial differential equations.- The Cauchy-Kovalevskaja theorem.- Holmgren's uniqueness theorem.- Method of characteristics.- Burger's equation.- Laplace equation - properties of solutions - starting point of elliptic theory.- Heat equation - properties of solutions - starting point of parabolic theory.- Wave equation - properties of solutions - starting point of hyperbolic theory.- Energies of solutions - one of the most important quantities.- Part 3.- Phase space analysis for heat equation.- Phase space analysis and smoothing for Schrödinger equations.- Phase space analysis for wave models.- Phase space analysis for plate models.- The method of stationary phase and applications.- Part 4.- Semilinear heat models.- Semilinear classical damped wave models.- Semilinear wave models with a special structural dissipation.- Semilinear classical wave models.- Semilinear Schrödinger models.- Linear hyperbolic systems.- Part 5.- Research projects for beginners.- Background material.
Eigenschaften
Breite: | 157 |
Gewicht: | 888 g |
Höhe: | 241 |
Länge: | 33 |
Seiten: | 456 |
Sprachen: | Englisch |
Autor: | Marcelo R. Ebert, Michael Reissig |
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